The sample space will be: {1, 2, 3, 4, 5, 6}
Event A is: {Rolling 1,2 or 3}
Complement of event A will contain all those outcomes in the sample space which are not a part of event A.
So, complement of event A will be: {Rolling a 4,5 or 6}
Thus option A gives the correct answer
There are 3 even numbers: 2,4,6. If you add 3 there is 4. There is 6 possible outcomes 1,2,3,4,5,6. So the probability is 4/6, 2/3, 66.666....% or 0.6666666....
Answer:
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
We shall prove that for all 
. This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let 
, then we have 
, and evidently, 
.
Assume that 
is divisible by 
for 
. Then, by this assumption, 
.
Now, let 
. Then:
Since 
, we may conclude, by the axiom of induction, that the property holds for all 
.
Answer:
Six
Step-by-step explanation:
Find the greatest common factor of each number.
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
The greatest common factor of 30 and 24 is 6.
Jane can make six fruit baskets if she divides the fruit evenly among them.
